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Question Number 108349 by Ar Brandon last updated on 16/Aug/20

$$\mathrm{Derive}{\mathrm{Leibniz}}^{\prime }\mathrm{s}\mathrm{formula}:$$$${\left(\mathrm{fg}\right)}^{\left(\mathrm{n}\right)}\left({\mathrm{x}}_0\right)=\underset{\mathrm{k}=0}{\sum ^{\mathrm{n}}}{\mathrm{C}}_{\mathrm{n}}^{\mathrm{k}}{\mathrm{f}}^{\left(\mathrm{k}\right)}\left({\mathrm{x}}_0\right){\mathrm{g}}^{(\mathrm{n}-\mathrm{k})}\left({\mathrm{x}}_0\right)$$

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